Mathematical Modelling of Non-Linear Transient Long Waves by using Finite Element Method in an Irregular Shaped Harbour

IF 1.8 4区数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI:10.1080/13873954.2021.1973510

Sukhwinder Kaur, P. Kumar, Rajni

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引用次数: 0

Abstract

ABSTRACT Extreme waves significantly affect the coastal structures, activities, and population. Therefore, investigation of extreme wave impact on coastal regions is essential. In this study, a mathematical model is presented to analyse the impact of transient long waves on coastal structures. The mathematical model is constructed based on the Boussinesq equation (BE) with variable water depth including dispersion properties. The numerical solution of BE is constructed by using FEM. The present numerical model is validated through the existing study of Lepelletier (1981) and convergence analysis is also conducted to determine the convergence rate. The present FEM model is implemented on realistic Paradip port, Odisha, India to determine the wave amplitude at various record stations. In addition, the impact of incident waves with angular variation is analysed in the Paradip port. The causes and countermeasures have been proposed based on the simulation results to improve the resonance in the port.

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不规则港口非线性瞬态长波的有限元数学建模

摘要：极端海浪对海岸结构、活动和人口产生重大影响。因此，研究极端波浪对沿海地区的影响至关重要。在本研究中，提出了一个数学模型来分析瞬态长波对海岸结构的影响。该数学模型是基于Boussinesq方程（BE）构建的，该方程具有包括分散特性的可变水深。利用有限元法构造了BE的数值解。通过Lepelletier（1981）的现有研究验证了现有的数值模型，并进行了收敛性分析以确定收敛速度。目前的有限元模型是在印度奥迪沙的Paradip港口上实现的，以确定不同记录站的波幅。此外，还分析了入射波随角度变化对Paradip港口的影响，并根据模拟结果提出了改善港口共振的原因和对策。

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来源期刊

Mathematical and Computer Modelling of Dynamical Systems 数学-计算机：跨学科应用

CiteScore

3.80

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.